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Finding the Fourth Proportional to 472,657,802.40, 709,716,610.80 and 257,666,954.40

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Solution

The fourth proportional to 472,657,802.40, 709,716,610.80 and 257,666,954.40 is: 386,898,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,657,802.40 : 709,716,610.80 = 257,666,954.40 : x
  2. Step 2: Convert to fraction form
    472,657,802.40/709,716,610.80 = 257,666,954.40/x
  3. Step 3: Cross multiply
    472,657,802.40x = 709,716,610.80 × 257,666,954.40
  4. Step 4: Simplify right side
    472,657,802.40x = 182,870,517,591,926,144
  5. Step 5: Solve for x
    x = 182,870,517,591,926,144/472,657,802.40
  6. Step 6: Final answer
    x = 386,898,336.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.